The Five-Point Difference Method Based on the K-Modes Cluster for Two-Dimensional Poisson EquationsJing Chen* and Changzheng Xu
College of Science, China Agricultural University, Beijing 100083, China
- *Corresponding Author:
- Jing Chen
College of Science, China Agricultural University
Beijing 100083, China
E-mail: [email protected]
Received August 22, 2013; Accepted September 23, 2013; Published September 27, 2013
Citation: Chen J, Xu C (2013) The Five-Point Difference Method Based on the K-Modes Cluster for Two-Dimensional Poisson Equations. J Appl Computat Math 2: 139. doi: 10.4172/2168-9679.1000139
Copyright: © 2013 Chen J, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
In this paper, we proposed a new method for the numerical solutions of a two-dimensional Poisson equation, where we used k-modes clustering algorithm to improve the standard five-point difference scheme. Numerical experiments have shown that the five-point difference method based on k-modes cluster is effective and efficient. The proposed new method not only reduces computing time remarkably, but also shows better performance in data storage and stability than the standard five-point difference scheme.